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Simplifying -2(-2 + 5k) + 6 = 34 + -6k (-2 * -2 + 5k * -2) + 6 = 34 + -6k (4 + -10k) + 6 = 34 + -6k Reorder the terms: 4 + 6 + -10k = 34 + -6k Combine like terms: 4 + 6 = 10 10 + -10k = 34 + -6k Solving 10 + -10k = 34 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 10 + -10k + 6k = 34 + -6k + 6k Combine like terms: -10k + 6k = -4k 10 + -4k = 34 + -6k + 6k Combine like terms: -6k + 6k = 0 10 + -4k = 34 + 0 10 + -4k = 34 Add '-10' to each side of the equation. 10 + -10 + -4k = 34 + -10 Combine like terms: 10 + -10 = 0 0 + -4k = 34 + -10 -4k = 34 + -10 Combine like terms: 34 + -10 = 24 -4k = 24 Divide each side by '-4'. k = -6 Simplifying k = -6
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